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Role of switching-on and -off effects in the vacuum instability T. C. Adorno, R. Ferreira, S. P. Gavrilov, D. M. Gitman

Contributor(s): Ferreira, Robson | Gavrilov, Sergey P | Gitman, Dmitri M | Adorno, Tiago CMaterial type: ArticleArticleSubject(s): рождение частиц | Швингера эффект | внешнее поле, зависящее от времени | Клейна-Гордона уравнение | Дирака уравнениеGenre/Form: статьи в журналах Online resources: Click here to access online In: International journal of modern physics A Vol. 33, № 11. P. 1850060-1-1850060-18Abstract: We find exact differential mean numbers of fermions and bosons created from the vacuum due to a composite electric field of special configuration. This configuration imitates a finite switching-on and -off regime and consists of fields that switch on exponentially from the infinitely remote past, remains constant during a certain interval T and switch off exponentially to the infinitely remote future. We show that calculations in the slowly varying field approximation are completely predictable in the framework of a locally constant field approximation. Beyond the slowly varying field approximation, we study effects of fast switching on and off in a number of cases when the size of the dimensionless parameter eE−−−√T is either close or exceeds the threshold value that determines the transition from a regime sensitive to on–off parameters to the slowly varying regime for which these effects are secondary.
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We find exact differential mean numbers of fermions and bosons created from the vacuum due to a composite electric field of special configuration. This configuration imitates a finite switching-on and -off regime and consists of fields that switch on exponentially from the infinitely remote past, remains constant during a certain interval T and switch off exponentially to the infinitely remote future. We show that calculations in the slowly varying field approximation are completely predictable in the framework of a locally constant field approximation. Beyond the slowly varying field approximation, we study effects of fast switching on and off in a number of cases when the size of the dimensionless parameter eE−−−√T is either close or exceeds the threshold value that determines the transition from a regime sensitive to on–off parameters to the slowly varying regime for which these effects are secondary.

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